| 1 | Groups | |
| 2 | Subgroups | |
| 3 | Cosets | |
| 4 | Cyclic Groups | HW 1 Due |
| 5 | Permutation Groups | |
| 6 | Conjugation in Sn
| |
| 7 | Isomorphisms | HW 2 Due |
| 8 | Homomorphisms and Kernels | |
| 9 | Quotient Groups | HW 3 Due |
| 10 | The Isomorphism Theorems | |
| 11 | The Alternating Groups | HW 4 Due |
| 12 | Presentations and Groups of Small Order | |
| 13 | Sylow Theorems and Applications | HW 5 Due |
| 14 | Rings | HW 6 Due |
| E1 | Midterm 1 | |
| 15 | Basic Properties of Rings | |
| 16 | Ring Homomorphisms and Ideals | HW 7 Due |
| 17 | Field of Fractions | HW 8 Due |
| 18 | Prime amd Maximal Ideals | |
| 19 | Special Domains | HW 9 Due |
| 20 | Euclidean Domains | |
| E2 | Midterm 2 | HW 10 Due |
| 21 | Polynomial Rings | |
| 22 | A Quick Primality Test | HW 11 Due |
| 23 | Group Actions and Automorphisms | |
| 24 | Review | |
| E3 | Final Exam | |
